| 反对称三对角矩阵的正反特征值问题 |
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| 引用本文： | 刘甲顺.反对称三对角矩阵的正反特征值问题[J].大连理工大学学报,1986(Z1). |
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| 作者姓名： | 刘甲顺 |
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| 作者单位： | 大连工学院应用数学系 |
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| 摘 要： | 本文介绍了化反对称矩阵为反对称三对角矩阵的Ｈｏｕｓｅｈｏｌｄｅｒ方法和Ｌａｎｃｚｏｓ方法， 以及计算反对称三对角矩阵特征值的低阶算法。讨论了反对称三对角矩阵与对称三对角矩 阵间的关系，提出了反对称三对角矩阵的特征值反问题，并给出了计算方法。
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| 关 键 词： | 特征值问题 斜对称矩阵 三对角矩阵 |
The Eigenvalue and Inverse Eigenvalue Problems of Skew-Symmetric Tridiagonal Matrices |
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| Liu Jiashun.The Eigenvalue and Inverse Eigenvalue Problems of Skew-Symmetric Tridiagonal Matrices[J].Journal of Dalian University of Technology,1986(Z1). |
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| Authors: | Liu Jiashun |
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| Abstract: | In this paper, the inverse eigenvalue problem of skew-symmetric tridiagonal matrices are raised, and its numerical method is discussed. This paper also describes the Householder and Lanczos method for reducing skew-symmetric matrices to tridiagonals, and gives out the induction of the compact method for computing eigenvalues of skew-symmetric tridiagonal matrices. The discu-ssion of, the relationship between skew-symmetric tridiagonals and symmetric tridiagonals is also included here. |
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| Keywords: | eigenvalue problems skew symmetric matrix tridiagonal matrix |
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